2024/02/28 by Jingmin Xia, Xia, Jingmin, Yucen Han +1 · 2 citations
Computer Science · Materials Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Physical sciences #Liquid Crystal Research Advancements #Nonlinear Dynamics and Pattern Formation #Soft Condensed Matter (cond-mat.soft)
paper · pdf · doi:10.48550/arxiv.2402.18295
openalex publication_date 2024/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The smectic C (smC) phase represents a unique class of liquid crystal phases characterised by the layered arrangement of molecules with tilted orientations with respect to layer normals. Building upon the real-valued tensorial smectic A (smA) model in [Xia et al., PRL, 126, 177801 (2021)], we propose a new continuum mathematical model for smC (and smA) by introducing a novel coupling term between the real tensor containing orientational information and density variation, to control the tilt angle between directors and the layer normal (the tilt angle is zero for smA and nonzero for smC). To validate our proposed model, we conduct a series of two- and three-dimensional numerical experiments that account for typical structures in smectics: chevron patterns, defects, dislocations and toroidal focal conic domains (TFCDs). These results also reveal the phenomenological differences between smA and smC configurations.